Parametrised surface
Summary
A parametrised surface is a surface in given by a map of two parameters into space. Surfaces in Stokes' theorem and the divergence theorem are often given in this form. From a parametrisation one can compute the surface area, the normal vectors and the curvature of the surface.
Where this leads
21 pages build on this one.
- Flux through a surface
- Surface integral
- Tangent plane and normal vector of a surface
- Surface area
- Orientable surface
- Index of the de Rham complex
- Classification of surfaces
- Mapping class group
- Double bubble theorem
- Single layer potential
- Minimal surface of revolution
- Kelvin problem
- Gauss–Bonnet theorem
- Dido's problem
- Chern–Gauss–Bonnet theorem
- Szegő kernel
- Double layer potential
- Isoperimetric inequality
- Genus
- Dehn twist
- Girard's theorem
Further reading
- Web https://en.wikipedia.org/wiki/Parametric_surface, lead section
About this page
| Tag | 0ZG9QF40HE |
|---|---|
| URI | m2://0ZG9QF40HE |
| Aliases | parametric-surface |
| Kind | concept |
| Writing | W1 stated |
| MSC | 53A05 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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